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Finding the Fourth Proportional to 1,455.78, 2,184.48 and 686.28

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Solution

The fourth proportional to 1,455.78, 2,184.48 and 686.28 is: 1,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.78 : 2,184.48 = 686.28 : x
  2. Step 2: Convert to fraction form
    1,455.78/2,184.48 = 686.28/x
  3. Step 3: Cross multiply
    1,455.78x = 2,184.48 × 686.28
  4. Step 4: Simplify right side
    1,455.78x = 1,499,164.93
  5. Step 5: Solve for x
    x = 1,499,164.93/1,455.78
  6. Step 6: Final answer
    x = 1,029.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.